List questions from diophantine-equations

Published on 14 Apr 2026 - 6:50

197

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Determine if the Diophantine equation $x^{2008}-y^{2008}=2^{2009}$ has any solutions.

Published on 14 Apr 2026 - 16:30

164

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Quadratic Diophantine equations in two variables

Published on 17 Apr 2026 - 21:21

168

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How to find all solutions of the following system of equations?

Published on 12 Apr 2026 - 1:30

77

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$a^2+b^2=c^2$ with certain conditions

Published on 15 Apr 2026 - 12:00

165

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Finding all solutions to a Linear Diophantine equation in three variables

Published on 09 Apr 2026 - 9:02

104

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On the integer solutions of some exponential equations

Published on 14 Apr 2026 - 12:49

49

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Repeated factor in polynomial co-efficients and the rational root theorem

Published on 13 Apr 2026 - 6:41

67

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Integer solutions in an equation

Published on 12 Apr 2026 - 3:15

420

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Method for solving Diophantine equation $ax^2 + bx + c = y^2$

Published on 12 Apr 2026 - 21:50

93

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Find the least possible natural n such that $8x + 13y = n$ will have exactly 9 solutions in natural numbers

Published on 14 Apr 2026 - 14:38

239

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In which base $b$ is $(374)_b$ a perfect square?

Published on 16 Apr 2026 - 3:37

126

Views

Is every integer $z$ representable in Pell form as $x^2 \pm dy^2 =z$?

Published on 14 Apr 2026 - 12:02

164

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There are triads of perfect squares that are consecutive terms of arithmetic progression?

Published on 12 Apr 2026 - 18:43

764

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Are there Pell Equations $x^2 - dy^2 = n$ that are easy to solve?

Published on 13 Apr 2026 - 14:38

List Question

What is the relation between $x$ and $y$ in the range of this function?

Determine if the Diophantine equation $x^{2008}-y^{2008}=2^{2009}$ has any solutions.

Quadratic Diophantine equations in two variables

How to find all solutions of the following system of equations?

$a^2+b^2=c^2$ with certain conditions

Finding all solutions to a Linear Diophantine equation in three variables

On the integer solutions of some exponential equations

Repeated factor in polynomial co-efficients and the rational root theorem

Integer solutions in an equation

Method for solving Diophantine equation $ax^2 + bx + c = y^2$

Find the least possible natural n such that $8x + 13y = n$ will have exactly 9 solutions in natural numbers

In which base $b$ is $(374)_b$ a perfect square?

Is every integer $z$ representable in Pell form as $x^2 \pm dy^2 =z$?

There are triads of perfect squares that are consecutive terms of arithmetic progression?

Are there Pell Equations $x^2 - dy^2 = n$ that are easy to solve?

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